<em>Answer:</em>
<em />
<em>Step-by-step explanation:Let us find points of intersection of line </em>
<em>3
</em>
<em>x
</em>
<em>+
</em>
<em>4
</em>
<em>y
</em>
<em>−
</em>
<em>k
</em>
<em>=
</em>
<em>0
</em>
<em> and circle </em>
<em>x
</em>
<em>2
</em>
<em>+
</em>
<em>y
</em>
<em>2
</em>
<em>=
</em>
<em>16
</em>
<em>. We can do this by putting value of </em>
<em>y
</em>
<em> from first equation i.e. </em>
<em>y
</em>
<em>=
</em>
<em>k
</em>
<em>−
</em>
<em>3
</em>
<em>x
</em>
<em>4
</em>
<em> and we get
</em>
<em>
</em>
<em>x
</em>
<em>2
</em>
<em>+
</em>
<em>(
</em>
<em>k
</em>
<em>−
</em>
<em>3
</em>
<em>x
</em>
<em>)
</em>
<em>2
</em>
<em>16
</em>
<em>=
</em>
<em>16
</em>
<em>
</em>
<em>or </em>
<em>16
</em>
<em>x
</em>
<em>2
</em>
<em>+
</em>
<em>k
</em>
<em>2
</em>
<em>+
</em>
<em>9
</em>
<em>x
</em>
<em>2
</em>
<em>−
</em>
<em>6
</em>
<em>k
</em>
<em>x
</em>
<em>=
</em>
<em>256
</em>
<em>
</em>
<em>i.e. </em>
<em>25
</em>
<em>x
</em>
<em>2
</em>
<em>−
</em>
<em>6
</em>
<em>k
</em>
<em>x
</em>
<em>+
</em>
<em>k
</em>
<em>2
</em>
<em>−
</em>
<em>256
</em>
<em>=
</em>
<em>0
</em>
<em>
</em>
<em>This would give two values of </em>
<em>x
</em>
<em> and corresponding two values of </em>
<em>y
</em>
<em> i.e. two points. But tangent cuts the circle in only at one point. This will be so when discriminant is zero i.e.
</em>
<em>
</em>
<em>(
</em>
<em>−
</em>
<em>6
</em>
<em>k
</em>
<em>)
</em>
<em>2
</em>
<em>−
</em>
<em>4
</em>
<em>⋅
</em>
<em>25
</em>
<em>⋅
</em>
<em>(
</em>
<em>k
</em>
<em>2
</em>
<em>−
</em>
<em>256
</em>
<em>)
</em>
<em>=
</em>
<em>0
</em>
<em>
</em>
<em>or </em>
<em>−
</em>
<em>64
</em>
<em>k
</em>
<em>2
</em>
<em>+
</em>
<em>25600
</em>
<em>=
</em>
<em>0
</em>
<em> or </em>
<em>k
</em>
<em>=
</em>
<em>±
</em>
<em>20
</em>
<em>
</em>
<em>graph{(x^2+y^2-16)(3x+4y-20)(3x+4y+20)=0 [-10, 10, -5, 5]}</em>
Answer:
i no speak spanish
Step-by-step explanation:
Answer:
There are three major trignometric ratios in mathematics and they are:
sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.
Sine(x) = Opp/Hyp
Cosine(x) = Adj/Hyp
Tangent(x) = Opp/Adj
Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent
Step-by-step explanation:
tan 30 = 60/x
Answer:
%3.57
Step-by-step explanation:
